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NationMaster - Encyclopedia: Thomas Jan Stieltjes Thomas Joannes Stieltjes (December 29, 1856 –; December 31, 1894) was a Dutch mathematician. Stieltjes was born in Zwolle and studied at the polytechnic in Delft. Stieltjes was the first mathematician to give a general treatment of continued fractions as part of complex analytical function theory. www.nationmaster.com /encyclopedia/Thomas-Jan-Stieltjes   (206 words)

Thomas Joannes Stieltjes Summary Stieltjes was born in Zwolle on December 29, 1856. Stieltjes originally wrote to Hermite concerning celestial mechanics, but the subject quickly turned to mathematics and he began to devote his spare time to mathematical research. Stieltjes worked on almost all branches of analysis, continued fractions and number theory, and for his work, he is sometimes called "the father of the analytic theory of continued fractions". www.bookrags.com /Thomas_Joannes_Stieltjes   (601 words)

Thomas Joannes Stieltjes - Wikipedia, the free encyclopedia Thomas Joannes Stieltjes (December 29, 1856 – December 31, 1894) was a Dutch mathematician, civil engineer and politician. He was a pioneer in the field of moment problems and contributed to the study of continued fractions. The Thomas Stieltjes Institute for Mathematics at the University of Leiden is named after him, as is the Riemann-Stieltjes integral. en.wikipedia.org /wiki/Thomas_Joannes_Stieltjes   (126 words)

Thomas Stieltjes Institute for Mathematics - Life of Stieltjes Thomas Joannes Stieltjes was born on December 29, 1856 in Zwolle, capital of the province Overijssel, The Netherlands. T.J. Stieltjes, a former employee of the Leiden Observatory. In 1889, Stieltjes was appointed professor of differential and integral calculus at the Faculty of Science of Toulouse. www.math.leidenuniv.nl /~stieltjes/life.html   (893 words)

Thomas Jan Stieltjes   (Site not responding. Last check: 2007-10-08) Thomas Stieltjes started his studies at the Polytechnical School of Delft in 1873, but spent his student years reading Gauss and Jacobi in the library rather than attending lectures, resulting in many failed examinations. Stieltjes went with his family to Paris in 1885, and in the same year he was elected to the Royal Academy of Sciences in Amsterdam. In the same year Stieltjes was appointed to the University of Toulouse, being appointed to a chair in 1889. www.stetson.edu /~efriedma/periodictable/html/S.html   (351 words)

Stieltjes biography In September Stieltjes was asked to substitute at the University of Delft for F J van den Berg who had taken ill. From September to December 1883 Stieltjes lectured on analytical geometry and on descriptive geometry. Stieltjes went with his family to Paris in April 1885 and in the same year he was elected to the Royal Academy of Sciences in Amsterdam. Stieltjes died on 31 December 1894 and was buried in the cemetery of Terre Cabade in Toulouse on 2 January 1895. www-groups.dcs.st-and.ac.uk /~history/Biographies/Stieltjes.html   (1489 words)

Stieltjes Integral -- from Wolfram MathWorld The Stieltjes integral is a generalization of the Riemann integral. is called the Stieltjes integral, or sometimes the Riemann-Stieltjes integral. For enumeration of many properties of the Stieltjes integral, see Dresher (1981, p. mathworld.wolfram.com /StieltjesIntegral.html   (159 words)

Thomas Stieltjes Institute for Mathematics - Stieltjes Prize On September 14, 2006, the Rector Magnificus and chairman of Leiden University, Prof.dr. D.D. Breimer presented this Stieltjes certificate and the amount of 1200 Euros to her. On June 8, 2000, the Stieltjes certificate and the amount of 2500 Dutch Guilders were presented to him. On March 11, 1998, during the celebration of the 5th anniversary of the Stieltjes Institute, the Rector Magnificus of Leiden University, Prof.dr. W.A. Wagenaar presented this Stieltjes certificate and the amount of 2500 Dutch Guilders to Dr. Wegkamp. www.stieltjes.org /stielprijs.html   (580 words)

Stieltjes Series The classic example of a Stieltjes function with a strongly divergent Stieltjes series is the Euler integral (2.6) and its associated asymptotic series, the Euler series (2.7). Stieltjes functions and their associated Stieltjes series are very important in the theory of divergent series, since they possess a highly developed representation and convergence theory [25,71,26,72,73,74]. Moreover, Stieltjes functions and Stieltjes series are also of considerable importance in quantum mechanical perturbation theory. www.apmaths.uwo.ca /~rcorless/AM563/NOTES/report/node6.html   (644 words)

Thomas Stieltjes Institute for Mathematics The Thomas Stieltjes Institute for Mathematics is a Dutch research institute in mathematics and carries out research in four main areas of fundamental and applied mathematics: The Stieltjes Institute is a member of the European Research Centres on Mathematics (ERCOM). The Stieltjes Institute, founded on November 12, 1992, has a research training program for Ph.D. students and has received formal recognition as a research school (onderzoekschool) from the Royal Netherlands Academy of Sciences (KNAW). www.stieltjes.org   (95 words)

Stieltjes classes for moment-indeterminate probability distributions, Jordan Stoyanov Power transformations of distributions such as the normal, log-normal and exponential are considered and for them Stieltjes classes written explicitly. A new Stieltjes class involving a power of the normal distribution is presented. We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. projecteuclid.org /Dienst/UI/1.0/Display/euclid.jap/1082552205   (744 words)

Tilburg University: Stieltjes afternoon   (Site not responding. Last check: 2007-10-08) The Thomas Stieltjes Institute for Mathematics organizes a lecture afternoon at Tilburg University. This afternoon is organized in collaboration with the Stieltjes Theme Group on Mathematics and Economics. Presentation of the Stieltjes Prize 2003 by the rector of Tilburg University, Frank van der Duyn Schouten, www.tilburguniversity.nl /faculties/feb/econometrics/stieltjesafternoon   (104 words)

Inequalities for Riemann-Stieltjes Integrals J.V. Herod, A Gronwall inequality for linear Stieltjes integrals, Proc. G. Butsan, A necessary and sufficient condition for the existence of a Stieltjes integral for a function of bounded variation, (Russian) Dokl. A.M. Dcyachkov, On the existence of the Stieltjes integral, (Russian) Dokl. rgmia.vu.edu.au /ineq_riemann.htm   (524 words)

Existence of Riemann-Stieltjes Integrals Va\u\i nerman, Sufficient conditions for the existence of the Stieltjes integral, (Russian) Vestnik Leningrad. P.P. Korovkin, The Stieltjes integral, and change of variable, (Russian) Application of functional analysis in approximation theory, 1 (Russian), pp. R., A criterion for the convergence of the Stieltjes integral. rgmia.vu.edu.au /riemann_stieltjes.htm   (229 words)

On the convergence of the vector Stieltjes continued fractions   (Site not responding. Last check: 2007-10-08) On the convergence of the vector Stieltjes continued fractions According to the Jacobi-Perron algorithm, a vector generalization of the Stieltjes continued fraction can be written for the case of two components as: We aim to generalize Stieltjes' conditions for the convergence of the vector S-fractions, which are closely connected with the Hermite-Padé approximation. www.ugr.es /~alhambra2000/polyort/op01/op-001.html   (93 words)

Lebesgue-Stieltjes integration In measure-theoretic analysis and related branches of mathematics, the Lebesgue-Stieltjes integration generalizes the Riemann-Stieltjes and Lebesgue integration, preserving the many advantages of the latter in a more general measure-theoretic framework. Lebesgue-Stieltjes integrals, named for Henri Leon Lebesgue and Thomas Joannes Stieltjes, are also known as Lebesgue-Radon integrals or just Radon integrals, after Johann Radon, to whom much of the theory of the present topic is due. They find common application in probability and stochastic processes, and in certain branches of analysis including potential theory. www.guajara.com /wiki/en/wikipedia/l/le/lebesgue_stieltjes_integration.html   (584 words)

Amazon.ca: Oeuvres Completes / Collected Papers: Books: Thomas J. Stieltjes   (Site not responding. Last check: 2007-10-08) This new edition is published in two volumes on the occasion of the 100th anniversary of Stieltjes' death (1894). Besides the reproduction of Stieltjes' papers, the new edition contains a short biography and about 75 pages of commentaries by important mathematicians who are discussing the impact of Stieltjes' work on the development of the theory of orthogonal polynomials and continued fractions. It is incredible to see the achievements of Stieltjes who died so early, at the age of 38. www.amazon.ca /Oeuvres-Completes-Collected-Papers-Stieltjes/dp/0387555609   (409 words)

Welcome to Mathsoft Zhang Nan-Yue and K. Williams, Some results on the generalized Stieltjes constants, Analysis 14 (1994) 147-162; MR 95k:11110. Bi Cheng Yang and Kang Wu, An inequality for the Stieltjes constants (in Chinese), J. Kreminski, High-accuracy numerical estimates of Stieltjes constants and multiple zeta (Euler/Zagier) sums (1999). www.mathsoft.com /mathsoft_resources/mathsoft_constants/ref/2133.asp   (279 words)

lopez   (Site not responding. Last check: 2007-10-08) Asymptotic expansions of Stieltjes and generalized Stieltjes transforms of functions having an asympotic expansion in negative integer powers of their variable have been exahustivelly investigated by R. Wong. Distributional approach is used for deriving the asymptotic expansion of the Stieltjes and generalized Stieltjes transforms of this kind of functions for large values of the parameter of the transformation. The asymptotic approximation of an integral involved in the calculation of the mass renormalization of the quantum scalar field is given as an ilustration. math.la.asu.edu /~sf2000/lopez.html   (133 words)

Introduction to Information Theory By 1925, when the scientific journals were being published again, the literature shows that the Stieltjes integral had been subsumed into the Lebesque integral -- by means of a mapping -- as the Lebesque-Stieltjes integral. Each point of the Stieltjes portion of the Lebesque-Stieltjes integral is to be replaced by a Lebesque-integral over a suitable interval of a suitable function, such that its Lebesque-integral is equal to the aforementioned Stieltjes portion of the Lebesque-Stieltjes integral. Thus, we have two strategies for the evaluation of the Stieltjes portion of a Lebesque-Stieltjes integral either convert it to a pure Lebesque-integral or convert it to a denumerable summation. www.rism.com /InfoTh/ITintroduction.htm   (3322 words)

S.O.S. Mathematics CyberBoard :: View topic - Stieltjes and Riemann Integrals If you have a continuous function f then it is Stieltjes integrable w.r.t. I was going the route of trying to show that I can refine the partition so that it has the same sample points as the calc 1 summation, but I can't fix the integrator, it's always 1/n in the calc 1 def. but since the Stieltjes partition is given just by saying f is integrable I can't guarentee that there's a refinement with evenly spaced partition points. www.sosmath.com /CBB/viewtopic.php?t=26869   (533 words)

Nat' Academies Press, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) Nobody would have thought the worse of Stieltjes if this had been the case, this being much too common an event in mathematical careers. Both must have wondered, though, whether there was any point to their efforts, since, even if their papers were to be published before Stieltjes’s, their lesser results would be overshadowed by his much greater one. Until quite recently it was thought possible that Stieltjes might, nonetheless, have proved the Hypothesis. www.nap.edu /openbook.php?record_id=10532&page=161   (626 words)

Remainder Estimates for Stieltjes Series In the case of a Stieltjes series, an integral representation for the truncation error can be obtained quite easily. If the argument z is positive, the truncation error of a Stieltjes series has the same sign as the first term not included in the partial sum and is bounded in magnitude by this term: An obvious generalization of the ``trivial'' remainder estimate (7.6) would be the following asymptotic expansion of the truncation error integral in eq. www.apmaths.uwo.ca /~rcorless/AM563/NOTES/report/node7.html   (599 words)

Citebase - Compact Jacobi matrices: from Stieltjes to Krein and M(a,b) Compact Jacobi matrices: from Stieltjes to Krein and M(a,b) In a note at the end of his paper {\it Recherches sur les fractions continues}, Stieltjes gave a necessary and sufficient condition when a continued fraction is represented by a meromorphic function. We also pay attention to the perturbation of a constant Jacobi matrix by a compact Jacobi matrix, work which basically started with Blumenthal in 1889 and which now is known as the theory for the class M(a,b). www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:math/9510214   (812 words)

Thomas Jan Stieltjes --  Encyclopædia Britannica   (Site not responding. Last check: 2007-10-08) Stieltjes was the son of a civil engineer and enrolled in 1873 at the École Polytechnique in Delft. "Stieltjes, Thomas Jan." Encyclopædia Britannica from Encyclopædia Britannica Premium Service. More results on "Thomas Jan Stieltjes" when you join. www.britannica.com /eb/article-9069691   (507 words)

RESEARCH PUBLICATIONS FOR RICHARD C. BROWN   (Site not responding. Last check: 2007-10-08) Generalized Green's functions and generalized inverses for linear differential systems with Stieltjes boundary conditions, Journal of Differential Equations, 16(1974), 335-351: also MRC Technical Summary Report #1312 (Abstract: AMS Notices 20, A487). Ordinary differential operators under Stieltjes boundary conditions (with A. Krall), Transactions of the American Mathematical Society, 198(1974), 73-92 (Abstract AMS Notices 20, A276). The operator theory of generalized boundary value problems, Canadian Journal of Mathematics 29(1976), 486-512, Revised version of MRC Technical Summary Report #1446, February 1975. www.math.ua.edu /~dbrown/publications.htm   (1420 words)

[No title] , Art Werschulz wrote: >I'm trying to collect references to where Stieltjes integrals are used >in more-or-less real applications. The sci.math.num-analysis crowd might not consider this "more-or-less real" but Stieltjes integrals are frequently used in analytic number theory. If one needs to compute a sum of the values of some function f(x) over the set of primes, one may express this as an integral of f(x) d pi(x), where pi(x) is the function which counts the number of primes less than or equal to x. www.math.niu.edu /~rusin/known-math/98/stieltjes.app   (124 words)

Mathematics of Computation such as 53/100, 1/2, etc.) suggest that published bounds on the growth of the Stieltjes constants can be much improved, and lead to several conjectures. Jan Bohman and Carl-Erik Froberg, The Stieltjes function - definition and properties, Mathematics of Computation 51 (1988), 281-289. T. Stieltjes, Correspondance d'Hermite et de Stieltjes, volumes 1 and 2, Gauthier-Villars, Paris, 1905. www.ams.org /mcom/2003-72-243/S0025-5718-02-01483-7/home.html   (364 words)

stieltjes afternoon Stieltjes afternoon on the work of two Fields medal 2006 winners On Friday March 23 a lecture afternoon for an audience of general mathematical background will be held at EURANDOM, concerning the work of two of the winners of the 2006 Fields medals: Wendelin Werner and Andrei Okounkov. I register for the STIELTJES AFTERNOON, March 23, 2007 www.eurandom.tue.nl /abstracts_seminars/23_march_stieltjes_afternoon.htm   (144 words)

Proceedings of the American Mathematical Society As an application we prove that the zeros of the Gegenbauer-Laurent polynomials are the points of unique equilibrium in a field generated by two positive and two negative charges. F. Grünbaum, Variations on a theme of Heine and Stieltjes: an electrostatic interpretation of the zeros of certain polynomials, J. Comput. E. Van Vleck, On the polynomials of Stieltjes, Bull. www.mathaware.org /journal-getitem?pii=S0002-9939-00-05638-0   (425 words)

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